Quiz Discussion

If \(a = \frac{{\sqrt 5 + 1}}{{\sqrt 5 - 1}}   \) and \(b = \frac{{\sqrt 5 - 1}}{{\sqrt 5 + 1}},\)   the value of \(\left( {\frac{{{a^2} + ab + {b^2}}}{{{a^2} - ab + {b^2}}}} \right)\)   is ?

• 1]

  3/4

• 2]

  4/3

• 3]

  3/5

• 4]

  5/3

Which number can replace both the question marks in the equation =?

• 1]

  12

• 2]

  7

• 3]

  

• 4]

  None of these

Solved \( \root 4 \of {{{\left( {625} \right)}^3}} = ?\)

• 1]

  \( \root 3 \of {1875} \)

• 2]

  25

• 3]

  125

• 4]

  None of these

\(\sqrt ? \times \sqrt {484} = 1034\)

• 1] 2025
• 2] 2209
• 3] 2304
• 4] 2401
• 5] None of these

The value of     is ?

• 1]

  0.1

• 2]

  10

• 3]

  \({10^2}\)

• 4]

  \({10^3}\)

The least perfect square number divisible by 3, 4, 5, 6 and 8 is = ?

• 1] 900
• 2] 1200
• 3] 2500
• 4] 3600

 =

• 1]

  232

• 2]

  123

• 3]

  432

• 4]

  543

The smallest natural number which is a perfect square and which ends in 3 identical digits lies between ?

• 1] 1000 and 2000
• 2] 2000 and 3000
• 3] 3000 and 4000
• 4] 4000 and 5000

By what least number 4320 be multiplied to obtain a number which is a perfect cube?

• 1]

  35

• 2]

  48

• 3]

  50

• 4]

  62

The value of \(\frac{{1 + \sqrt {0.01} }}{{1 - \sqrt {0.1} }}\)   is close to = ?

• 1] 0.6
• 2] 1.1
• 3] 1.6
• 4] 1.7